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Finding the Fourth Proportional to 114,872.70, 172,309.13 and 35,993.08

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Solution

The fourth proportional to 114,872.70, 172,309.13 and 35,993.08 is: 53,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,872.70 : 172,309.13 = 35,993.08 : x
  2. Step 2: Convert to fraction form
    114,872.70/172,309.13 = 35,993.08/x
  3. Step 3: Cross multiply
    114,872.70x = 172,309.13 × 35,993.08
  4. Step 4: Simplify right side
    114,872.70x = 6,201,936,300.82
  5. Step 5: Solve for x
    x = 6,201,936,300.82/114,872.70
  6. Step 6: Final answer
    x = 53,989.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.